In this paper, we investigate the existence of modular sonar sequences of length v and mod v where v is a product of twin primes. For v = 3 · 5 = 15, we have found some old and ne...
Abstract. The filter generator consists of a linear feedback shift register (LFSR) and a Boolean filtering function that combines some bits from the shift register to create a ke...
Bent functions f : Fm 2 → F2 achieve largest distance to all linear functions. Equivalently, their spectrum with respect to the Hadamard-Walsh transform is flat (i.e. all spectr...
Any span n sequences can be regarded as filtering sequences. From this observation, new randomness criteria for span n sequences are proposed. It is proved that the feedback funct...
In this short note we introduce two new sequences defined using the sum of digits in the representation of an integer in a certain base. A connection to Niven numbers is proposed ...
H. Fredricksen, E. J. Ionascu, Florian Luca, Pante...